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Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
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May 17, 2018
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Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
Mathematics
middle-school
Hans Petter Naumann
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Hans Petter Naumann
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x = oranges / y = apples
x - 2 = 2y and 0.5x - 0.5y = 4
x - 2 = 2y
+2 +2
x = 2y + 2
0.5x - 0.5y = 4
2(0.5x - 0.5y = 4)
x - y = 8
Substitute
(x) - y = 8
(2y + 2) - y = 8
3y + 2 = 8
- 2 -2
3y = 6
y = 2
Substitute again
x = 2y + 2
x = 2(2) + 2
x = 4 + 2
x = 6
Hope this helps!
Alex Fortin
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May 18, 2018
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Alex Fortin
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The answer is ONE SOLUTION. Hope that helps, sorry if it doesn't.
Metatoaster
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May 22, 2018
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Metatoaster
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